A probabilistic position value

Abstract

In this article the authors generalize the position value, defined by Meessen (1988) for the class of deterministic communication situations, to the class of generalized probabilistic communication situation (Gómez et al.)They provide two characterization of this new allocation rule, They characterize the probabilistic position value using probabilistic version of component efficiency and balanced link contribution. The They generalize the notion of link potential, defined by Slikker for the class of deterministic communication situations, to the class of generalizad probabilistic commnication situations, and use it charasterized their allocation rules. Finally, They show that these two characterizations are logically equivalent.